plus 100 points
one number exceeds another by 11. the sum of the two numbers is 5. what are the numbers. hint x=8 y=-3
note that this is simultaneous equations, show full working out

Let one number = X and the second number = Y.

The sum of the numbers is 5 so you get X + Y = 5

One number exceeds the other by 11 ( that means the difference of the numbers is 11, so you would have X  - Y = 11

Your two equations are:

X + Y = 5

X - Y = 11

Add the equations together:

x +x = 2x

y-y = 0

5+11 = 16

Now you have 2x = 16

Divide both sides by 2:

X = 16/2 = 8

Now you have x = 8, replace x with 8 and solve for Y:

8 + y = 5

Subtract 8 from both sides:

y = 5 - 8 = -3

X = 8, Y = -3

Answer and step-by-step explanation:

If we called the first number is x

The second number is y

We are given that:

x + y = 5

x = y + 11

Let put x from (2) into (1), we gotL

x + y = 5

y + 11 + y = 5

2y + 11 = 5

2y = 16

2y = 8

y = 8

Because y = 8 and x + y = 5 so:

x + 8 = 5

x = 5 - 8

x = -3

So x = -3 and y = 8 or x = 8 and y = -3

Hope this helped :3

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